White to play - Win with Black pawn no further advanced than a4-b3-c2-d3-e2-f2-g3-h2 (instead of Fine's a4-b4-c3-d4-e3-f4-g4-h3)

From the diagram, Fine gives the win 1. h6 Kg8 2. Kg6 Kh8 3. Nb5 Kg8 4. h7+ Kh8 5. Nd6 a3 6. Nf7# He also shows an example with the pawn on c3. The wins for the furthest advanced pawn position on each file are demonstrated below.

1.h6 Kh8 1...Kg8 2.Kg6 Kh8 3.Nc4 Kg8 4.h7+ Kh8 5.Ne5 b2 6.Nf7# 2.Kg6 Kg8 3.Nc4 Kh8 4.Ne5 b2 5.Nf7+ Kg8 6.h7+ Kf8 7.h8Q+

1.h6 Kh8 1...Kg8 2.Kg6 Kh8 3.Nd3 Kg8 4.h7+ Kh8 5.Ne5! c1Q 6.Nf7#! 2.Kg6 Kg8 3.Nd3 Kh8 4.Ne5 c1Q 5.Nf7+! Kg8 6.h7+! Kf8 7.h8Q+! Ke7 8.Qd8+ Ke6 9.Qd6#!

1.h6 Kg8 1...Kh8 2.Kg6 Kg8 3.h7+ Kh8 4.Nf3 d2 5.Ne5 d1Q 6.Nf7#! 2.Kg6 Kh8 3.Nf3 Kg8 4.h7+ Kh8 5.Ne5 d2 6.Nf7#

1.h6 Kh8 1...Kg8 2.Kg6 Kh8 3.Nf3 Kg8 4.h7+ Kh8 5.Ne5 e1Q 6.Nf7#! 2.Kg6 Kg8 3.Nf3 Kh8 4.Ne5 e1Q 5.Nf7+! Kg8 6.h7+! Kf8 7.h8Q+! Ke7 8.Qd8+ Ke6 9.Qd6#

1.Ng3 1.h6? Kh8 2.Kg6 Kg8 3.Ng3 Kh8 and White's knight cannot reach f7 in time 1...Kg7 2.Kf4 Again 2.h6+ is insufficient 2...Kh6 3.Kg4! Kg7 4.Kf3 winning the pawn

1.Kg4 1.h6? Kh8! (1...Kg8? 2.Kg6 Kh8 3.Nf4 Kg8 4.h7+ Kh8 5.Kh6! g2 6.Ng6#!) 2.Kg6 Kg8 3.Nf4 Kh8 4.h7 g2 5.Kh6 g1Q and the queen guards g6 1...Kh6 2.Nf4 and captures the pawn next move

1.Ng3 Similar to the position with the pawn on f2, 1.h6? is premature 1...Kg8 2.Kg6 Kh8 3.Ng3 Kg8= 1...Kg7 2.Kg4 Kh6 3.Kh4 Kg7 4.Kh3 and wins the pawn

Analysis using computer generated chess endgame tablebase

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